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Classifying Polynomials
Degree of a PolynomialThe degree of a polynomial is calculated by finding the largest exponent in the polynomial.
Degree of a Polynomial(Each degree has a special “name”)
9
Degree of a Polynomial(Each degree has a special “name”)
9 No variable Constant
Degree of a Polynomial(Each degree has a special “name”)
9 No variable Constant
8x 1st degree Linear
Degree of a Polynomial(Each degree has a special “name”)
9 No variable Constant
8x 1st degree Linear
7x2 + 3x 2nd degree Quadratic
Degree of a Polynomial(Each degree has a special “name”)
9 No variable Constant
8x 1st degree Linear
7x2 + 3x 2nd degree Quadratic
6x3 – 2x 3rd degree Cubic
Degree of a Polynomial(Each degree has a special “name”)
9 No variable Constant
8x 1st degree Linear
7x2 + 3x 2nd degree Quadratic
6x3 – 2x 3rd degree Cubic
3x4 + 5x – 1 4th degree Quartic
Degree of a Polynomial(Each degree has a special “name”)
9 No variable Constant
8x 1st degree Linear
7x2 + 3x 2nd degree Quadratic
6x3 – 2x 3rd degree Cubic
3x4 + 5x – 1 4th degree Quartic
2x5 + 7x3 5th degree Quintic
9 No variable Constant
8x 1st degree Linear
7x2 + 3x 2nd degree Quadratic
6x3 – 2x 3rd degree Cubic
3x4 + 5x – 1 4th degree Quartic
2x5 + 7x3 5th degree Quintic
5xn 6th degree or higher
“nth” degree
Degree of a Polynomial(Each degree has a special “name”)
Let’s practice classifying polynomials by “degree”.POLYNOMIAL
1. 3z4 + 5z3 – 72. 15a + 253. 1854. 2c10 – 7c6 + 4c3 - 95. 2f3 – 7f2 + 16. 15y2
7. 9g4 – 3g + 58. 10r5 –7r9. 16n7 + 6n4 – 3n2
DEGREE NAME1. Quartic2. Linear3. Constant4. Tenth degree5. Cubic6. Quadratic7. Quartic8. Quintic9. Seventh degree
The degree name becomes the “first name” of the polynomial.
Naming Polynomials (by number of terms)
25x
Naming Polynomials (by number of terms)
One term Monomial25x
Naming Polynomials (by number of terms)
One term Monomial
Two terms Binomial
25x
3x
Naming Polynomials (by number of terms)
One term Monomial
Two terms Binomial
Three terms Trinomial
25x
3x 37 2 4x x
Naming Polynomials (by number of terms)
One term Monomial
Two terms Binomial
Three terms Trinomial
Four (or more) terms
Polynomial with 4 (or more) terms
25x
3x 37 2 4x x
4 3 22 2 5x x x x
Let’s practice classifying a polynomial by “number of terms”.
Polynomial1. 15x2. 2e8 – 3e7 + 3e – 73. 6c + 54. 3y7 – 4y5 + 8y3
5. 646. 2p8 – 4p6 + 9p4 + 3p –
17. 25h3 – 15h2 + 188. 55c19 + 35
Classify by # of Terms:1. Monomial2. Polynomial with 4
terms3. Binomial4. Trinomial5. Monomial6. Polynomial with 5
terms7. Trinomial8. Binomial
Can you name them now?
POLYNOMIAL1. 5x2 – 2x + 32. 2z + 53. 7a3 + 4a – 124. -155. 27x8 + 3x5 – 7x + 4
6. 9x4 – 37. 10x – 1858. 18x5
CLASSIFICATION / NAME
1. Quadratic Trinomial2. Linear Binomial3. Cubic Trinomial4. Constant Monomial5. 8th Degree Polynomial
with 4 terms.
6. Quartic Binomial7. Linear Binomial8. Quintic Monomial
